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Finding the Fourth Proportional to 1,853.28, 2,553.12 and 1,520.64

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Solution

The fourth proportional to 1,853.28, 2,553.12 and 1,520.64 is: 2,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.28 : 2,553.12 = 1,520.64 : x
  2. Step 2: Convert to fraction form
    1,853.28/2,553.12 = 1,520.64/x
  3. Step 3: Cross multiply
    1,853.28x = 2,553.12 × 1,520.64
  4. Step 4: Simplify right side
    1,853.28x = 3,882,376.40
  5. Step 5: Solve for x
    x = 3,882,376.40/1,853.28
  6. Step 6: Final answer
    x = 2,094.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.